Pith Number

pith:4W5IXC5B

pith:2014:4W5IXC5BFQNWCUPV6RLKBZZKBN

not attested not anchored not stored refs pending

A Novel Proof for the DoF Region of the MIMO Broadcast Channel with No CSIT

Borzoo Rassouli, Bruno Clerckx, Chenxi Hao

arxiv:1401.5676 v2 · 2014-01-22 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4W5IXC5BFQNWCUPV6RLKBZZKBN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:01:13.049601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ba8b8ba12c1b6151f5f456a0e72a0b47705c38b31d73176c6eb039a3660f91

Aliases

arxiv: 1401.5676 · arxiv_version: 1401.5676v2 · doi: 10.48550/arxiv.1401.5676 · pith_short_12: 4W5IXC5BFQNW · pith_short_16: 4W5IXC5BFQNWCUPV · pith_short_8: 4W5IXC5B

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4W5IXC5BFQNWCUPV6RLKBZZKBN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e5ba8b8ba12c1b6151f5f456a0e72a0b47705c38b31d73176c6eb039a3660f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6bd561b0dd60225872ed382bf2621ad106ee3e42a24a892bcd433e1ad27776c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-01-22T14:10:03Z",
    "title_canon_sha256": "8b057ef4001029c4fb5c76bf4794aed8104a53f5c77e39ed385a9dd0aea4d451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5676",
    "kind": "arxiv",
    "version": 2
  }
}